Subject: [mg97106] How to express the results in normal cdf instead of erf()

From: Irving Zhu <irving.zhu at gmail.com>

Date: Thu, 5 Mar 2009 04:56:27 -0500 (EST)

Hi All,
I am working on some integrals involving the Normal Distribution, and would
like the end results to be expressed in normal density as opposed to the
Erf[] function.
For example, the default result of the following:
Integrate[PDF[NormalDistribution[0, 1], x] Exp[x], x] will result in an
expression in Erf[].
I'd like it to be in terms of CDF[NormalDistribution[]] instead.
Of course the two functions are related:
CDF[NormalDistribution[0,1],x] ==1/2*(1+Erf[[x/Sqrt[2]])
Is there any way to do that?
Thanks,
Irving.